137625007 has 8 divisors (see below), whose sum is σ = 148778784. Its totient is φ = 126552288.

The previous prime is 137625001. The next prime is 137625011. The reversal of 137625007 is 700526731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137625007 - 2¹⁵ = 137592239 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137625007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137625001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16708 + ... + 23545.

It is an arithmetic number, because the mean of its divisors is an integer number (18597348).

Almost surely, 2^137625007 is an apocalyptic number.

137625007 is a deficient number, since it is larger than the sum of its proper divisors (11153777).

137625007 is a wasteful number, since it uses less digits than its factorization.

137625007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40529.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 137625007 is about 11731.3685049955. The cubic root of 137625007 is about 516.2964251879.

It can be divided in two parts, 13762 and 5007, that added together give a square (18769 = 137²).

The spelling of 137625007 in words is "one hundred thirty-seven million, six hundred twenty-five thousand, seven".